The values of a function (f(x, y, z)) and vector field (mathbf{F}(x, y, z)) are given at
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The values of a function \(f(x, y, z)\) and vector field \(\mathbf{F}(x, y, z)\) are given at six sample points along the path \(A B C\) in Figure 18. Estimate the line integrals of \(f\) and \(\mathbf{F}\) along \(A B C\).
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Point (1,2,0) (1, 1,0) (1,3,0) (1,1,1) (1, 1, 1) (1,1,2) f(x,y,z) 3 3.3 3.6 4.2 4.5 4.2 F(x, y, z) (1, 0, 2) (1, 1, 3) (2, 1,5) (3, 2, 4) (3,3,3) (5,3,3)
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We write the integrals as sum of integrals and estimate each integral by a Riemann Sum That is begin...View the full answer
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